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" "I may remark that the curious transformations many formulae can undergo, the unsuspected and to a beginner apparently impossible identity of forms exceedingly dissimilar at first sight, is I think one of the chief difficulties in the early part of mathematical studies. I am often reminded of certain sprites and fairies one reads of, who are at one's elbows in one shape now, and the next minute in a form most dissimilar.
Augusta Ada King, Countess of Lovelace (10 December 1815 – 27 November 1852), born Augusta Ada Byron and now commonly known as Ada Lovelace, was an English mathematician and writer, daughter of the poet Lord Byron. She is chiefly known for her work on Charles Babbage's early mechanical general-purpose computer, the Analytical Engine. Her notes on the engine include what is recognised as the first algorithm intended to be carried out by a machine. Because of this, she is often described as the world's first computer programmer, or the "mother of computer programming".
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Circumstances have been such, that I have lived almost entirely secluded for some time. Those who are much in earnest and with single minds devoted to any great object in life, must find this occasionally inevitable.... You will wonder at having heard nothing from me; but you have experience and candour enough to perceive and know that God has not given to us (in this state of existence) more than very limited powers of expression of one's ideas and feelings... I shall be very desirous of again seeing you. You know what that means from me, and that it is no form, but the simple expression and result of the respect and attraction I feel for a mind that ventures to read direct in God's own book, and not merely thro' man's translation of that same vast and mighty work.
All but one of the programs cited in her notes had been prepared by Babbage from three to seven years earlier. The exception was prepared by Babbage for her, although she did detect a 'bug' in it. Not only is there no evidence that Ada ever prepared a program for the Analytical Engine, but her correspondence with Babbage shows that she did not have the knowledge to do so.
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[The Analytical Engine] might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine. … Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.